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Annals of Physics, ISSN 0003-4916, 2008, Volume 323, Issue 1, pp. 204 - 249
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 04/2013, Volume 87, Issue 16
We introduce and study a class of anyon models that are a natural generalization of Ising anyons and Majorana fermion zero modes. These models combine an Ising... 
PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | SYMMETRIES | REPRESENTATIONS | STATISTICS | INTERFEROMETRY | NON-ABELIAN ANYONS | 2 DIMENSIONS
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2018, Volume 490, pp. 918 - 927
The topology of particle trajectories in two-dimensional space allows for existence of anyons — particles obeying statistics intermediate between that of... 
Anyons | Fractional statistics | Occupation numbers | Virial expansion | IDEAL-GAS | VIRIAL-COEFFICIENTS | MECHANICS | PARTICLES | PHYSICS, MULTIDISCIPLINARY | FRACTIONAL-STATISTICS | NON-ABELIAN ANYONS | Physics - Statistical Mechanics
Journal Article
Physical Review A, ISSN 2469-9926, 05/2018, Volume 97, Issue 5
We propose feasible scenarios for revealing the modified exchange statistics in one-dimensional anyon models in optical lattices based on an extension of the... 
FRACTIONAL STATISTICS | STATES | PARTICLES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | GAS | INTERFEROMETRY | QUANTUM COMPUTATION | OPTICS | LATTICE | NON-ABELIAN ANYONS | Physics - Quantum Gases
Journal Article
New Journal of Physics, ISSN 1367-2630, 05/2013, Volume 15
Chains of interacting non-Abelian anyons with local interactions invariant under the action of the Drinfeld double of the dihedral group D-3 are constructed.... 
CONFORMAL-INVARIANCE | PHYSICS, MULTIDISCIPLINARY | LATTICE MODELS | DYNKIN DIAGRAMS | INVARIANT PARTITION-FUNCTIONS | OPERATOR CONTENT | QUANTUM COMPUTATION | FINITE-SIZE | CRITICAL SYSTEMS | NON-ABELIAN ANYONS | CRITICAL EXPONENTS
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 10/2012, Volume 86, Issue 15
Using finite-size scaling arguments, the critical properties of a chain of interacting anyons can be extracted from the low-energy spectrum of a finite system.... 
FRACTIONAL STATISTICS | ORDER | TORUS | PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | LANDAU-LEVEL | EXCITATIONS | DEGENERACY | COMPUTATION | NON-ABELIAN ANYONS
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 07/2011, Volume 84, Issue 1
Topological quantum computation may provide a robust approach for encoding and manipulating information utilizing the topological properties of anyonic... 
WAVE-FUNCTIONS | NON-ABELIAN STATISTICS | HALL STATES | OPTICS | UNIVERSAL | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TOPOLOGY | EXCITATION | QUANTUM COMPUTERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | QUANTUM FIELD THEORY | QUBITS
Journal Article
Annual Review of Condensed Matter Physics, ISSN 1947-5454, 04/2013, Volume 4, Issue 1, pp. 113 - 136
Journal Article
Computational Materials Science, ISSN 0927-0256, 2010, Volume 49, Issue 4, pp. S395 - S398
A generalized version of the valence-bond Monte Carlo method is used to study ground state properties of the 1 + 1 dimensional quantum Q-state Potts models.... 
Quantum Monte Carlo | Spin chains | Non-Abelian anyons | SYSTEM | GROUND-STATE | MATERIALS SCIENCE, MULTIDISCIPLINARY | 1-DIMENSIONAL CHAIN | MODEL | SPIN-SPIN INTERACTIONS | LATTICE | Monte Carlo method | Analysis | Physics - Disordered Systems and Neural Networks
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 03/2009, Volume 79, Issue 3
We give a general proof for the existence and realizability of Clifford gates in the Ising topological quantum computer. We show that all quantum gates that... 
group theory | anyons | quantum gates | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Ising model | NON-ABELIAN STATISTICS | COMPUTATION | OPTICS
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 02/2012, Volume 85, Issue 2
An obstacle affecting any proposal for a topological quantum computer based on Ising anyons is that quasiparticle braiding can only implement a finite... 
NON-ABELIAN STATISTICS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS | Bells | Inequalities | Benchmarking | Ising model | Mathematical models | Qubits (quantum computing) | Topology | Quantum computers | Physics - Quantum Physics
Journal Article
Annual Review of Condensed Matter Physics, ISSN 1947-5454, 3/2016, Volume 7, Issue 1, pp. 119 - 139
Journal Article